Finding the Third Proportional to 78,469 and 174,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,469 : 174,373.50 = 174,373.50 : x
2. Step 2: Convert to fraction form
   78,469/174,373.50 = 174,373.50/x
3. Step 3: Cross multiply
   78,469x = 174,373.50 × 174,373.50
4. Step 4: Simplify right side
   78,469x = 30,406,117,502.25
5. Step 5: Solve for x
   x = 30,406,117,502.25/78,469
6. Step 6: Final answer
   x = 387,492.10